Details

Time bar (total: 12.5s)

sample40.0ms

Algorithm
intervals
Results
14.0ms309×body80valid
1.0ms6×body1280valid
0.0ms4×body160valid
0.0ms2×body640valid
0.0ms1×body320valid

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
118.0ms
(* d1 (+ (+ 3.0 d2) d3))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify1.7s

Counts
27 → 27
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
051265
1150252
2539218
32806218
done5000218

prune91.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ (+ 3.0 d2) d3) d1)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube distribute-lft-out
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
118.0ms
(* (+ (+ 3.0 d2) d3) d1)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (+ (+ 3.0 d2) d3) d1)

simplify1.9s

Counts
25 → 25
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
048257
1126248
2519214
32671214
done5000214

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
2.5b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
7.4b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
17.5b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
66.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
21.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
102.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
103.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series369.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
57.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
134.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
161.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify1.5s

Counts
127 → 127
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01922163
15272009
220271729
done50011507

prune430.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3)))
2.6b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
3.5b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
27.8b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite644.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
32×frac-add
29×flip3-+ flip-+
26×distribute-lft-out
18×associate-/r/
16×frac-times unpow-prod-down flip3-- cube-prod flip--
13×associate-*r*
12×associate-*r/
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt
8×add-cube-cbrt associate-*l/
6×pow1
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv +-commutative distribute-rgt-in associate-+l+ associate-+r+ distribute-lft-in div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
1×associate-+r- sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 127
Calls
4 calls:
43.0ms
(+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3)))
117.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
266.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
204.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3)))
111.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
236.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
306.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify2.4s

Counts
139 → 139
Iterations

Useful iterations: 2 (857.0ms)

IterNodesCost
02664953
19474243
243063913
done50003913

prune981.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample848.0ms

Algorithm
intervals
Results
348.0ms9518×body80valid
24.0ms189×body640valid
17.0ms100×body1280valid
15.0ms157×body320valid
6.0ms89×body160valid